Lattice structure of knowledge and agreeing to disagree

This paper is a contribution to the study of the underlying mathematical structure of common-knowledge, which gives the well-known result of Aumann about the impossibility of ‘agreeing to disagree’. We present the Bayesian subjective probability model with player's belief: i.e. a triple (? %plane1D;4AF;, μ), in which i is a player. ? is a lattice in the field of sets of a state space Ω, %plane1D;4AF;, is a correspondence assigning to each state ω a filter %plane1D;4AF;(ω) in ?, and μ is a common-prior. For this model, we impose none of the important restrictions on the information structure in the Aumann-Bacharach model: axiom of knowledge K₁. axiom of transparency K₂ and axiom of wisdom K₃. We can extend both the disagreement theorem of Aumann and the agreement theorem of Geanacoplos and Polemarchakis under the assumption that each ? is an Artinian lattice.     

Factors affecting customers’ continued intentions to use Islamic banks

No study has concurrently verified the religious motives and attitudes that affected the customers’ continued intentions to use Islamic banks along with the importance of other factors and attributes associated with conventional banking services. This study examines factors affecting customers’ attitudes toward Islamic banks based on data obtained from interview surveys conducted in Jordan. The findings show that customers’ religious motives, their evaluations of a bank's compliance with Islamic law as an indication of the customers’ religious attitudes toward Islamic banks, and the ease of access to credit had a positive effect on the customers’ intentions to continue using Islamic banks. More specifically, the findings suggest that customers who continuously transact with Islamic banks more strongly emphasize religious attitudes, rather than credit constraints (such as the degree of access to credit) and religious motives. This study further reveals that religious attitudes, rather than mere religious motives, were the primary criterion for the customers’ continued intent to use Islamic banks, especially when considering the strong effect of their religious attitudes toward Islamic banks.